The transmission coefficients of the thin metallic films both in the frequency and time domain are developed in this paper. The features of the two transmission coefficients in the time domain are pointed out. In addition, The transmission coefficient in the frequency domain can be directly used to predicting the shielding effectiveness, whereas the convolution of the arbitrarily incident wave-form and the transmission coefficient in the time domain is introduced to analyze the property of the decay of the transmitted field.
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